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Finding the Third Proportional to 38,585,028.38 and 84,942,381.38

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Solution

The third proportional to 38,585,028.38 and 84,942,381.38 is: 186,995,020.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,585,028.38 : 84,942,381.38 = 84,942,381.38 : x
  2. Step 2: Convert to fraction form
    38,585,028.38/84,942,381.38 = 84,942,381.38/x
  3. Step 3: Cross multiply
    38,585,028.38x = 84,942,381.38 × 84,942,381.38
  4. Step 4: Simplify right side
    38,585,028.38x = 7,215,208,153,655,947
  5. Step 5: Solve for x
    x = 7,215,208,153,655,947/38,585,028.38
  6. Step 6: Final answer
    x = 186,995,020.03

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.